1
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Döppner T, Bethkenhagen M, Kraus D, Neumayer P, Chapman DA, Bachmann B, Baggott RA, Böhme MP, Divol L, Falcone RW, Fletcher LB, Landen OL, MacDonald MJ, Saunders AM, Schörner M, Sterne PA, Vorberger J, Witte BBL, Yi A, Redmer R, Glenzer SH, Gericke DO. Observing the onset of pressure-driven K-shell delocalization. Nature 2023:10.1038/s41586-023-05996-8. [PMID: 37225995 DOI: 10.1038/s41586-023-05996-8] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/18/2022] [Accepted: 03/22/2023] [Indexed: 05/26/2023]
Abstract
The gravitational pressure in many astrophysical objects exceeds one gigabar (one billion atmospheres)1-3, creating extreme conditions where the distance between nuclei approaches the size of the K shell. This close proximity modifies these tightly bound states and, above a certain pressure, drives them into a delocalized state4. Both processes substantially affect the equation of state and radiation transport and, therefore, the structure and evolution of these objects. Still, our understanding of this transition is far from satisfactory and experimental data are sparse. Here we report on experiments that create and diagnose matter at pressures exceeding three gigabars at the National Ignition Facility5 where 184 laser beams imploded a beryllium shell. Bright X-ray flashes enable precision radiography and X-ray Thomson scattering that reveal both the macroscopic conditions and the microscopic states. The data show clear signs of quantum-degenerate electrons in states reaching 30 times compression, and a temperature of around two million kelvins. At the most extreme conditions, we observe strongly reduced elastic scattering, which mainly originates from K-shell electrons. We attribute this reduction to the onset of delocalization of the remaining K-shell electron. With this interpretation, the ion charge inferred from the scattering data agrees well with ab initio simulations, but it is significantly higher than widely used analytical models predict6.
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Affiliation(s)
- T Döppner
- Lawrence Livermore National Laboratory, Livermore, CA, USA.
| | - M Bethkenhagen
- Institute of Physics, University of Rostock, Rostock, Germany
- École Normale Supérieure de Lyon, LGLTPE, CNRS UMR 5276, Lyon, France
| | - D Kraus
- Institute of Physics, University of Rostock, Rostock, Germany
- Department of Physics, University of California Berkeley, Berkeley, CA, USA
- Helmholtz-Zentrum Dresden-Rossendorf, Dresden, Germany
| | - P Neumayer
- GSI Helmholtz-Zentrum für Schwerionenforschung, Darmstadt, Germany
| | | | - B Bachmann
- Lawrence Livermore National Laboratory, Livermore, CA, USA
| | - R A Baggott
- The John Adams Institute for Accelerator Science, Imperial College London, London, UK
| | - M P Böhme
- Helmholtz-Zentrum Dresden-Rossendorf, Dresden, Germany
- Center for Advanced Systems Understanding (CASUS), Görlitz, Germany
- Technische Universität Dresden, Dresden, Germany
| | - L Divol
- Lawrence Livermore National Laboratory, Livermore, CA, USA
| | - R W Falcone
- Department of Physics, University of California Berkeley, Berkeley, CA, USA
| | - L B Fletcher
- SLAC National Accelerator Laboratory, Menlo Park, CA, USA
| | - O L Landen
- Lawrence Livermore National Laboratory, Livermore, CA, USA
| | - M J MacDonald
- Lawrence Livermore National Laboratory, Livermore, CA, USA
| | - A M Saunders
- Lawrence Livermore National Laboratory, Livermore, CA, USA
| | - M Schörner
- Institute of Physics, University of Rostock, Rostock, Germany
| | - P A Sterne
- Lawrence Livermore National Laboratory, Livermore, CA, USA
| | - J Vorberger
- Helmholtz-Zentrum Dresden-Rossendorf, Dresden, Germany
| | - B B L Witte
- Institute of Physics, University of Rostock, Rostock, Germany
- SLAC National Accelerator Laboratory, Menlo Park, CA, USA
| | - A Yi
- Los Alamos National Laboratory, Los Alamos, NM, USA
| | - R Redmer
- Institute of Physics, University of Rostock, Rostock, Germany
| | - S H Glenzer
- SLAC National Accelerator Laboratory, Menlo Park, CA, USA
| | - D O Gericke
- Centre for Fusion, Space and Astrophysics, Department of Physics, University of Warwick, Coventry, UK
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2
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Witte BBL, Röpke G, Neumayer P, French M, Sperling P, Recoules V, Glenzer SH, Redmer R. Comment on "Isochoric, isobaric, and ultrafast conductivities of aluminum, lithium, and carbon in the warm dense matter regime". Phys Rev E 2019; 99:047201. [PMID: 31108609 DOI: 10.1103/physreve.99.047201] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/21/2018] [Indexed: 06/09/2023]
Abstract
Dharma-wardana et al. [M. W. C. Dharma-wardana et al., Phys. Rev. E 96, 053206 (2017)2470-004510.1103/PhysRevE.96.053206] recently calculated dynamic electrical conductivities for warm dense matter as well as for nonequilibrium two-temperature states termed "ultrafast matter" (UFM) [M. W. C. Dharma-wardana, Phys. Rev. E 93, 063205 (2016)2470-004510.1103/PhysRevE.93.063205]. In this Comment we present two evident reasons why these UFM calculations are neither suited to calculate dynamic conductivities nor x-ray Thomson scattering spectra in isochorically heated warm dense aluminum. First, the ion-ion structure factor, a major input into the conductivity and scattering spectra calculations, deviates strongly from that of isochorically heated aluminum. Second, the dynamic conductivity does not show a non-Drude behavior which is an essential prerequisite for a correct description of the absorption behavior in aluminum. Additionally, we clarify misinterpretations by Dharma-wardana et al. concerning the conductivity measurements of Gathers [G. R. Gathers, Int. J. Thermophys. 4, 209 (1983)IJTHDY0195-928X10.1007/BF00502353].
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Affiliation(s)
- B B L Witte
- Institut für Physik, Universität Rostock, 18051 Rostock, Germany
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, MS 72 Menlo Park, California 94025, USA
| | - G Röpke
- Institut für Physik, Universität Rostock, 18051 Rostock, Germany
| | - P Neumayer
- Extreme Matter Institute, GSI Helmholtzzentrum für Schwerionenforschung, Planckstr. 1, 64291 Darmstadt, Germany
| | - M French
- Institut für Physik, Universität Rostock, 18051 Rostock, Germany
| | - P Sperling
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, MS 72 Menlo Park, California 94025, USA
- European XFEL, Holzkoppel 4, 22869 Schenefeld, Germany
- Aible GmbH, Am Vögenteich 24, 18055 Rostock, Germany
| | - V Recoules
- CEA, DAM, DIF, 91297 Arpajon Cedex, France
| | - S H Glenzer
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, MS 72 Menlo Park, California 94025, USA
| | - R Redmer
- Institut für Physik, Universität Rostock, 18051 Rostock, Germany
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3
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McBride EE, White TG, Descamps A, Fletcher LB, Appel K, Condamine F, Curry CB, Dallari F, Funk S, Galtier E, Gamboa EJ, Gauthier M, Goede S, Kim JB, Lee HJ, Ofori-Okai BK, Oliver M, Rigby A, Schoenwaelder C, Sun P, Tschentscher T, Witte BBL, Zastrau U, Gregori G, Nagler B, Hastings J, Glenzer SH, Monaco G. Erratum: "Setup for meV-resolution inelastic X-ray scattering measurements and X-ray diffraction at the Matter in Extreme Conditions endstation at the Linac Coherent Light Source" [Rev. Sci. Instrum. 89, 10F104 (2018)]. Rev Sci Instrum 2018; 89:129901. [PMID: 30599579 DOI: 10.1063/1.5084054] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/03/2018] [Accepted: 12/04/2018] [Indexed: 06/09/2023]
Affiliation(s)
- E E McBride
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - T G White
- University of Nevada at Reno, Reno, Nevada 89506, USA
| | - A Descamps
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - L B Fletcher
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - K Appel
- European XFEL GmbH, Holzkoppel 4, D-22869 Schenefeld, Germany
| | - F Condamine
- Sorbonne Universités, UPMC, LULI, UMR 7605, Case 128, 4 Place Jussieu 75252 Paris Cedex 05, France
| | - C B Curry
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - F Dallari
- Dipartimento di Fisica, Università di Trento, via Sommarive 14, 38123 Povo, TN, Italy
| | - S Funk
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Erwin-Rommel-Str. 1, D-91058 Erlangen, Germany
| | - E Galtier
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - E J Gamboa
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - M Gauthier
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - S Goede
- European XFEL GmbH, Holzkoppel 4, D-22869 Schenefeld, Germany
| | - J B Kim
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - H J Lee
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - B K Ofori-Okai
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - M Oliver
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
| | - A Rigby
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
| | - C Schoenwaelder
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - P Sun
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - Th Tschentscher
- European XFEL GmbH, Holzkoppel 4, D-22869 Schenefeld, Germany
| | - B B L Witte
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - U Zastrau
- European XFEL GmbH, Holzkoppel 4, D-22869 Schenefeld, Germany
| | - G Gregori
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
| | - B Nagler
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - J Hastings
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - S H Glenzer
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - G Monaco
- Dipartimento di Fisica, Università di Trento, via Sommarive 14, 38123 Povo, TN, Italy
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4
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Bishel DT, Bachmann B, Yi A, Kraus D, Divol L, Bethkenhagen M, Falcone RW, Fletcher LB, Glenzer SH, Landen OL, MacDonald MJ, Masters N, Neumayer P, Redmer R, Saunders AM, Witte BBL, Döppner T. Using time-resolved penumbral imaging to measure low hot spot x-ray emission signals from capsule implosions at the National Ignition Facility. Rev Sci Instrum 2018; 89:10G111. [PMID: 30399716 DOI: 10.1063/1.5037073] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/20/2018] [Accepted: 08/11/2018] [Indexed: 06/08/2023]
Abstract
We have developed and fielded a new x-ray pinhole-imaging snout that exploits time-resolved penumbral imaging of low-emission hot spots in capsule implosion experiments at the National Ignition Facility. We report results for a series of indirectly driven Be capsule implosions that aim at measuring x-ray Thomson scattering (XRTS) spectra at extreme density conditions near stagnation. In these implosions, x-ray emission at stagnation is reduced by 100-1000× compared to standard inertial confinement fusion (ICF) implosions to mitigate undesired continuum background in the XRTS spectra. Our snout design not only enables measurements of peak x-ray emission times, t o , where standard ICF diagnostics would not record any signal, but also allows for inference of hot spot shapes. Measurement of t o is crucial to account for shot-to-shot variations in implosion velocity and therefore to benchmark the achieved plasma conditions between shots and against radiation hydrodynamic simulations. Additionally, we used differential filtering to infer a hot spot temperature of 520 ± 80 eV, which is in good agreement with predictions from radiation hydrodynamic simulations. We find that, despite fluctuations of the x-ray flash intensity of up to 5×, the emission time history is similar from shot to shot and slightly asymmetric with respect to peak x-ray emission.
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Affiliation(s)
- D T Bishel
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - B Bachmann
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - A Yi
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - D Kraus
- Helmholtz-Zentrum Dresden-Rossendorf, 01328 Dresden, Germany
| | - L Divol
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - M Bethkenhagen
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - R W Falcone
- Physics Department, University of California Berkeley, Berkeley, California 94720, USA
| | - L B Fletcher
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - S H Glenzer
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - O L Landen
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - M J MacDonald
- Physics Department, University of California Berkeley, Berkeley, California 94720, USA
| | - N Masters
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - P Neumayer
- GSI Helmholtz-Zentrum für Schwerionenforschung, 64291 Darmstadt, Germany
| | - R Redmer
- Institut für Physik, Universität Rostock, 18051 Rostock, Germany
| | - A M Saunders
- Physics Department, University of California Berkeley, Berkeley, California 94720, USA
| | - B B L Witte
- Institut für Physik, Universität Rostock, 18051 Rostock, Germany
| | - T Döppner
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
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5
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McBride EE, White TG, Descamps A, Fletcher LB, Appel K, Condamine FP, Curry CB, Dallari F, Funk S, Galtier E, Gamboa EJ, Gauthier M, Goede S, Kim JB, Lee HJ, Ofori-Okai BK, Oliver M, Rigby A, Schoenwaelder C, Sun P, Tschentscher T, Witte BBL, Zastrau U, Gregori G, Nagler B, Hastings J, Glenzer SH, Monaco G. Setup for meV-resolution inelastic X-ray scattering measurements and X-ray diffraction at the Matter in Extreme Conditions endstation at the Linac Coherent Light Source. Rev Sci Instrum 2018; 89:10F104. [PMID: 30399942 DOI: 10.1063/1.5039329] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/07/2018] [Accepted: 06/20/2018] [Indexed: 06/08/2023]
Abstract
We describe a setup for performing inelastic X-ray scattering and X-ray diffraction measurements at the Matter in Extreme Conditions (MEC) endstation of the Linac Coherent Light Source. This technique is capable of performing high-, meV-resolution measurements of dynamic ion features in both crystalline and non-crystalline materials. A four-bounce silicon (533) monochromator was used in conjunction with three silicon (533) diced crystal analyzers to provide an energy resolution of ∼50 meV over a range of ∼500 meV in single shot measurements. In addition to the instrument resolution function, we demonstrate the measurement of longitudinal acoustic phonon modes in polycrystalline diamond. Furthermore, this setup may be combined with the high intensity laser drivers available at MEC to create warm dense matter and subsequently measure ion acoustic modes.
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Affiliation(s)
- E E McBride
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - T G White
- University of Nevada at Reno, Reno, Nevada 89506, USA
| | - A Descamps
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - L B Fletcher
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - K Appel
- European XFEL GmbH, Holzkoppel 4, D-22869 Schenefeld, Germany
| | - F P Condamine
- Sorbonne Universités, UPMC, LULI, UMR 7605, Case 128, 4 Place Jussieu, 75252 Paris Cedex 05, France
| | - C B Curry
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - F Dallari
- Dipartimento di Fisica, Università di Trento, via Sommarive 14, Povo 38123, TN, Italy
| | - S Funk
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Erwin-Rommel-Str. 1, D-91058 Erlangen, Germany
| | - E Galtier
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | | | - M Gauthier
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - S Goede
- European XFEL GmbH, Holzkoppel 4, D-22869 Schenefeld, Germany
| | - J B Kim
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - H J Lee
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - B K Ofori-Okai
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - M Oliver
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
| | - A Rigby
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
| | - C Schoenwaelder
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - P Sun
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - Th Tschentscher
- European XFEL GmbH, Holzkoppel 4, D-22869 Schenefeld, Germany
| | - B B L Witte
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - U Zastrau
- European XFEL GmbH, Holzkoppel 4, D-22869 Schenefeld, Germany
| | - G Gregori
- Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
| | - B Nagler
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - J Hastings
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - S H Glenzer
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, California 94025, USA
| | - G Monaco
- Dipartimento di Fisica, Università di Trento, via Sommarive 14, Povo 38123, TN, Italy
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6
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Mo MZ, Chen Z, Li RK, Dunning M, Witte BBL, Baldwin JK, Fletcher LB, Kim JB, Ng A, Redmer R, Reid AH, Shekhar P, Shen XZ, Shen M, Sokolowski-Tinten K, Tsui YY, Wang YQ, Zheng Q, Wang XJ, Glenzer SH. Heterogeneous to homogeneous melting transition visualized with ultrafast electron diffraction. Science 2018; 360:1451-1455. [PMID: 29954977 DOI: 10.1126/science.aar2058] [Citation(s) in RCA: 58] [Impact Index Per Article: 9.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/12/2017] [Accepted: 05/01/2018] [Indexed: 11/02/2022]
Abstract
The ultrafast laser excitation of matters leads to nonequilibrium states with complex solid-liquid phase-transition dynamics. We used electron diffraction at mega-electron volt energies to visualize the ultrafast melting of gold on the atomic scale length. For energy densities approaching the irreversible melting regime, we first observed heterogeneous melting on time scales of 100 to 1000 picoseconds, transitioning to homogeneous melting that occurs catastrophically within 10 to 20 picoseconds at higher energy densities. We showed evidence for the heterogeneous coexistence of solid and liquid. We determined the ion and electron temperature evolution and found superheated conditions. Our results constrain the electron-ion coupling rate, determine the Debye temperature, and reveal the melting sensitivity to nucleation seeds.
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Affiliation(s)
- M Z Mo
- SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA.
| | - Z Chen
- SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - R K Li
- SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - M Dunning
- SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - B B L Witte
- SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA.,Institut für Physik, Universität Rostock, 18051 Rostock, Germany
| | - J K Baldwin
- Los Alamos National Laboratory, Bikini Atoll Road, Los Alamos, NM 87545, USA
| | - L B Fletcher
- SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - J B Kim
- SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - A Ng
- Department of Physics and Astronomy, University of British Columbia, Vancouver, BC V6T 1Z1, Canada
| | - R Redmer
- Institut für Physik, Universität Rostock, 18051 Rostock, Germany
| | - A H Reid
- SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - P Shekhar
- Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB T6G 2V4, Canada
| | - X Z Shen
- SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - M Shen
- Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB T6G 2V4, Canada
| | - K Sokolowski-Tinten
- Faculty of Physics and Centre for Nanointegration Duisburg-Essen, University of Duisburg-Essen, Lotharstrasse 1, D-47048 Duisburg, Germany
| | - Y Y Tsui
- Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB T6G 2V4, Canada
| | - Y Q Wang
- Los Alamos National Laboratory, Bikini Atoll Road, Los Alamos, NM 87545, USA
| | - Q Zheng
- SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - X J Wang
- SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - S H Glenzer
- SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA.
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